This is the webpage for my Part III course on Prime Numbers, to be lectured in Lent 2012 and scheduled to take place Monday, Wednesday and Friday at 9am in MR5, Centre for Mathematical Sciences.
Notes will be posted here in due course.
Topics to be covered include: The Prime Number Theorem (two proofs), sieves, Vinogradov's three primes theorem, other topics TBA.
| Chapter 1
Introduction. Mobius randomness and the Prime Number Theorem |
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| Chapter 2
Introduction to Halasz's Theorem |
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| Chapter 3
Some Fourier Analysis |
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| Chapter 4
Halasz's Theorem |
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| Appendix
The Gamma function |
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| Examples 1 | |